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The analytic method for deriving the equation of state of a cell fluid model in the region above the critical temperature ($T \geqslant T_\text{c}$) is elaborated using the renormalization group transformation in the collective variables…

Statistical Mechanics · Physics 2018-12-21 M. P. Kozlovskii , I. V. Pylyuk , O. A. Dobush

The previously proposed approach for the microscopic description of the critical behavior of Morse liquids based on the cell fluid model is applied to the case where the parameters of the Morse interaction potential correspond to alkali…

Statistical Mechanics · Physics 2023-09-20 I. V. Pylyuk , M. P. Kozlovskii , O. A. Dobush , M. V. Dufanets

The paper is devoted to the development of a microscopic description of the critical behavior of a cell fluid model with allowance for the contributions from collective variables with nonzero values of the wave vector. The mathematical…

Statistical Mechanics · Physics 2020-07-01 I. V. Pylyuk , O. A. Dobush

The present work is aimed at investigating the behavior of Morse fluids in the immediate vicinity of the critical point within the framework of a cell model. This region is of both fundamental and practical importance, yet presents…

Statistical Mechanics · Physics 2025-05-20 I. V. Pylyuk , M. P. Kozlovskii , R. V. Romanik

This article is a continuation of our previous works (see Yukhnovskii I.R. et al., J. Stat. Phys, 1995, 80, 405 and references therein), where we have described the behavior of a simple system of interacting particles in the region of…

Statistical Mechanics · Physics 2013-07-09 I. R. Yukhnovskii , V. O. Kolomiets , I. M. Idzyk

An analytical procedure for calculating the critical temperature and estimating the size of critical region for a cell fluid model is developed. Our numerical calculations are illustrated by the case of the Morse potential parameters…

Statistical Mechanics · Physics 2023-09-26 I. V. Pylyuk , M. P. Kozlovskii , O. A. Dobush

The present manuscript gives a theoretical description of the first-order phase transition in a cell fluid model with a modified Morse potential and additional repulsive interaction. In the framework of the grand canonical ensemble, the…

Statistical Mechanics · Physics 2019-12-03 M. P. Kozlovskii , O. A. Dobush

We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in…

Statistical Mechanics · Physics 2017-06-23 M. P. Kozlovskii , O. A. Dobush

In supercooled liquids, at a temperature between the glass transition temperature Tg and the melting point Tm, thermodynamic properties remain continuous, while dynamic behavior exhibits anomalies. The origin of such thermodynamics-dynamic…

Soft Condensed Matter · Physics 2025-06-17 X. R. Tian , D. M. Zhang , B. Zhang , D. Y. Sun , X. G. Gong

A microscopic description is given for the behavior of the fluid system in an immediate vicinity of its critical point, where theoretical and experimental researches are difficult to carry out. For the temperatures $T<T_c$, the regions of…

Statistical Mechanics · Physics 2023-03-01 I. V. Pylyuk , M. P. Kozlovskii

This article embraces a theoretical description of the first order phase transition in liquid metals with application of a cell fluid model. The results are obtained through calculation of the grand partition function without usage of…

Statistical Mechanics · Physics 2017-08-29 M. P. Kozlovskii , O. A. Dobush , I. V. Pylyuk

Water's unique anomalies are vital in various applications and biological processes, yet the molecular mechanisms behind these anomalies remain debated, particularly in the metastable liquid phase under supercooling and stretching…

Statistical Mechanics · Physics 2024-05-17 Luis Enrique Coronas , Giancarlo Franzese

Can liquid-like and gas-like states be distinguished beyond the critical point, where the liquid-gas phase transition no longer exists and conventionally only a single supercritical fluid phase is defined? Recent experiments and simulations…

Statistical Mechanics · Physics 2024-04-30 Xinyang Li , Yuliang Jin

We use numerical simulation to examine the possibility of a reversible liquid-liquid transition in supercooled water and related systems. In particular, for two atomistic models of water, we have computed free energies as functions of…

Statistical Mechanics · Physics 2012-05-11 David T. Limmer , David Chandler

Within the micro-canonical ensemble phase transitions of first order can be identified without invoking the thermodynamic limit. We show for the liquid-gas transition of sodium, potassium, and iron at normal pressure that the transition…

Condensed Matter · Physics 2008-02-03 D. H. E. Gross , M. E. Madjet

Based on the earlier obtained equations of state for the ternary systems H2O-CO2-CaCl2 and H2O-CO2-NaCl, an equation of state for the four-component fluid system H2O-CO2-NaCl-CaCl2 is derived in terms of the Gibbs excess free energy. A…

Chemical Physics · Physics 2022-09-22 Mikhail V. Ivanov

We propose a new formulation of the statistical multifragmentation model based on the analysis of the virial expansion for a system of the nuclear fragments of all sizes. The developed model not only enables us to account for short-range…

Nuclear Theory · Physics 2014-03-05 V. V. Sagun , A. I. Ivanytskyi , K. A. Bugaev , I. N. Mishustin

The liquid-vapor critical behavior of water is strongly influenced by both ionic solutes and confinement. Molecular dynamics simulations of aqueous NaCl solutions using the TIP4P/2005 water model and the Madrid-2019 ion parameters reveal a…

Chemical Physics · Physics 2026-04-02 Mayank Sharma , Peter Virnau

In this paper we investigate the possibility to detect the hypothesized liquid-liquid critical point of water in supercooled aqueous solutions of salts. Molecular dynamics computer simulations are conducted on bulk TIP4P water and on an…

Soft Condensed Matter · Physics 2010-04-08 D. Corradini , M. Rovere , P. Gallo

The problem of the gas-liquid heterophase fluctuations of a fluid within the critical and supercritical regions is revisited. To describe the thermodynamics and structure of the heterophase fluid, the mesoscopic equation of state is…

Statistical Mechanics · Physics 2015-08-21 A. S. Bakai
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